| PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY |
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| 作者姓名： | 陈凤德 史金麟 陈晓星 |
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| 作者单位： | Dept. of Math.，Fuzhou University Fuzhou 350002，Dept. of Math.，Fuzhou University Fuzhou 350002，Dept. of Math.，Fuzhou University Fuzhou 350002 |
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| 基金项目： | This work is supported by the Foundation of Ability Person of Fuzhou University under the grant 0030824228 andthe Foundation of Developing Science and Technology of Fuzhou University under the grant 2003—QX—21 and the Foundation of Fujian Education Bur |
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| 摘 要： | In this paper, a non-autonomous predator-prey model with diffusion andcontinuous time delay is studied, where the prey can diffuse between two pat-ches of a heterogeneous environment with barriers between patches, but for thepredator, the diffusion does not involve a barrier between patches, further itis assumed that all the parameters are time-dependent. It is shown that thesystem can be made persistent under some appropriate conditions. Moreover,sufficient conditions that guarantee the existence of a unique periodic solutionwhich is globally asymptotic stable are derived.
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| 关 键 词： | 延时 稳定性 模型 参数 周期 微分方程 |
PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY |
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| Chen Fengde,Shi Jinlin,Chen Xiaoxing Dept. of Math.,Fuzhou University Fuzhou.PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY[J].微分方程年刊(英文版),2004,20(2):111-117. |
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| Authors: | Chen Fengde Shi Jinlin Chen Xiaoxing Dept of Math Fuzhou University Fuzhou |
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| Institution: | Dept.ofMath.,FuzhouUniversity,Fuzhou350002 |
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| Abstract: | In this paper, a non-autonomous predator-prey model with diffusion and
continuous time delay is studied, where the prey can diffuse between two pat-
ches of a heterogeneous environment with barriers between patches, but for the
predator, the diffusion does not involve a barrier between patches, further it
is assumed that all the parameters are time-dependent. It is shown that the
system can be made persistent under some appropriate conditions. Moreover,
sufficient conditions that guarantee the existence of a unique periodic solution
which is globally asymptotic stable are derived. |
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| Keywords: | persistence time delay diffusion predator-prey periodic solution global asymptotic stability |
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